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A rough relation on the set of partial differential equations

Tsuyoshi Kato
(Kyoto University)
Seminar
Wednesday, 24 March, 2010, at 16:15-17:15, in Aud. D3 (1531-215)
Abstract:
In this talk I will introduce a new comparison method to have rough asymptotic estimates on solutions to different partial differential equations of 2 variables. It uses a kind of scale transform called tropical geometry which connects automata with real rational dynamics. Two PDEs can be considered when their defining equations are transformed to the same automata at infinity. Such comparison gives a rough analytic relation on the set of partial differential equations.
Organised by: CTQM/QGM
Contact person: Jørgen Ellegaard Andersen